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A Study on the Dynamical Behaviour of a Two Predator-One Prey Model Incorporating a Non-infectious Disease in Prey

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Data Science and Communication (ICTDsC 2023)

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Abstract

A mathematical model of two predators hunting on a single type of prey is constructed in this study. We also include the fact that the two predator species fight for food and shelter both within and between species. Prey confronts biomass loss in predator–prey interactions, which is well documented, but predators also face the risk of contracting an infection from prey, which is less well investigated. We have thus taken this into consideration in this paper. The two predators’ predation functions are assumed to be the same and follow the Holling Type-I functional response. All ecologically possible equilibrium points are found analytically and numerically. Stability and bifurcation analyses are performed thereafter. The analytical conclusions are demonstrated and validated through the use of numerical simulations.

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Authors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Dipam Das & Debasish Bhattacharjee

Authors
  1. Dipam Das
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  2. Debasish Bhattacharjee
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Corresponding author

Correspondence to Dipam Das .

Editor information

Editors and Affiliations

  1. Faculty of Engineering, University of Porto (FEUP), Porto, Portugal

    João Manuel R. S. Tavares

  2. National Institute of Telecommunications (INATEL), Santa Rita do Sapucaí, Minas Gerais, Brazil

    Joel J. P. C. Rodrigues

  3. Siliguri Institute of Technology, Siliguri, West Bengal, India

    Debajyoti Misra

  4. Siliguri Institute of Technology, Siliguri, West Bengal, India

    Debasmriti Bhattacherjee

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Das, D., Bhattacharjee, D. (2024). A Study on the Dynamical Behaviour of a Two Predator-One Prey Model Incorporating a Non-infectious Disease in Prey. In: Tavares, J.M.R.S., Rodrigues, J.J.P.C., Misra, D., Bhattacherjee, D. (eds) Data Science and Communication. ICTDsC 2023. Studies in Autonomic, Data-driven and Industrial Computing. Springer, Singapore. https://doi.org/10.1007/978-981-99-5435-3_27

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